IMO Mathematics Olympiad Class 10: Questions 510  514 of 958
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Question number: 510
Question
A boy was asked to multiply a given number by. Instead, he divided the given number by and got the result 225 more than what he should have got if he had multiplied the number by. The given number was ________.
Choices
Choice (4)  Response  

a.  136 

b.  64 

c.  8 

d.  17 

Question number: 511
Question
Sumit has 27 small cubes of . He wants to arrange all of them in a cuboidal shape, such that the surface area will be minim um. What is the diagonal of this larger cuboid?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 512
Question
Five years ago, a father was four times as old as his son. 8 years later, father’s age will be exceeding his son’s age by 12 years. The ratio of the present ages of father and son is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 513
Question
5 bells commence tolling together and toll at intervals of 3, 6, 9, 12 and 15 seconds respectively. In 12 minutes, how many times do they toll together?
Choices
Choice (4)  Response  

a.  5 

b.  6 

c.  7 

d.  4 

Question number: 514
Question
The present ages of A, B and C are in proportions. Eight years ago, the sum of their ages was 76. What are their present ages (in years)?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

